Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 9 - Solving Quadratic Equations - 9.4 - Solving Quadratic Equations by Completing the Square - Exercises - Page 511: 6

Answer

$c=1$

Work Step by Step

Comparing $x^{2}-2x+c$ with $x^{2}+bx+c$, we see that $b=-2$. The value of $c$ such that it completes the square is $c=(\frac{b}{2})^{2}=(\frac{-2}{2})^{2}=1$
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